Lectures	Sections in Text	Brief Description
1/5	1.1, 1.2, 1.3	Introduction, classification of differential equations, direction fields
1/8	2.2, 2.6	Separable and exact DEs
1/10	2.1, 2.4	Linear and nonlinear equations
1/12	2.3	Modeling with 1st order DEs
1/17	3.1, 3.4, (3.5)	Homogeneous DEs with constant coefficients, complex and repeated roots
1/19	3.2, 3.3	Fundamental solutions, linear independence, Wronskian
1/22	3.5	Reduction of order
1/24	3.6, 3.7	Nonhomogeneous equations, undetermined coefficients, variation of parameters
1/26	3.8, 3.9	Mechanical vibrations, forced vibrations
1/29	7.1	Systems of DEs
1/31	7.2, 7.3, 7.4	Matrices, eigenvalues, eigenvectors
2/3	7.5, 7.6	Systems of DEs, real distinct and complex eigenvalues
2/5	7.6, 7.8	Systems of DEs, complex and repeated eigenvalues
2/7	2.5, 9.1	Critical points of autonomous 1st order DEs, phase portraits of linear systems
2/8	9.2	Autonomous systems and stability
2/12	9.3	Almost linear systems
2/14	5.1	Review of series
2/16	5.2	Series solutions
2/19	5.3	Series solutions
2/21	10.1, 10.2	Fourier series
2/23	10.3, 10.4	Fourier Convergence Theorem, even and odd extensions
2/26	10.5	Heat equation, separation of variables
2/28	10.6	Other heat equations: nonhomogeneous and insulated ends
3/2	10.7	Wave equation
3/5	10.8	Laplace equation
3/7	10.7, 10.8	Review